1232430400 has 84 divisors (see below), whose sum is σ = 3137237820. Its totient is φ = 475955200.

The previous prime is 1232430391. The next prime is 1232430401. The reversal of 1232430400 is 40342321.

It can be written as a sum of positive squares in 6 ways, for example, as 6310144 + 1226120256 = 2512^2 + 35016^2 .

It is a super-3 number, since 3×1232430400³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232430401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33120 + ... + 59680.

Almost surely, 2^1232430400 is an apocalyptic number.

1232430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568618910).

1232430400 is an abundant number, since it is smaller than the sum of its proper divisors (1904807420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1232430400 is a wasteful number, since it uses less digits than its factorization.

1232430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26612 (or 26597 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1232430400 is about 35105.9880932014. The cubic root of 1232430400 is about 1072.1465048155.

Adding to 1232430400 its reverse (40342321), we get a palindrome (1272772721).

It can be divided in two parts, 12324 and 30400, that added together give a palindrome (42724).

The spelling of 1232430400 in words is "one billion, two hundred thirty-two million, four hundred thirty thousand, four hundred".